NEW YORK -- Prosecutors are likely to drop the sexual assault case that spurred Dominique Strauss-Kahn to resign as head of the International Monetary Fund and upended French politics before it was riven by questions about his accuser's credibility, a person familiar with the case said late Sunday.After a sharp turn in a case it once called strong, the Manhattan District Attorney's office probably will tell the woman Monday that it won't pursue the case, both because prosecutors don't have evidence proving a forced sexual encounter and because she has a history of lies and inconsistencies that make it impossible to ask a jury to believe her, the person said.